中文摘要：

讨论了一类不确定非线性模糊系统的控制问题,针对能量有界的输入干扰,设计了基于状态反馈的有限时间鲁棒H∞控制器。基于鲁棒控制理论,通过对状态反馈系统的分析,提出了使得系统既符合有限时间稳定又满足H∞控制指标的控制器存在条件。结合构造的Lyapunov-Krasovskii函数和线性矩阵不等式理论,给出了控制器存在的可行性描述。基于有限时间稳定性理论设计的鲁棒H∞控制器,使系统具有有限时间稳定,抑制干扰强,满足给定范数指标的特点。仿真实例说明了该设计方法的有效性。

英文摘要：

The control problem of a class of uncertain nonlinear fuzzy systems is studied.A state feedback robust H∞ controller is designed for a given system with energy bounded input noise.Based on the robust control theory,the sufficient condition for the existence of H∞ controller which can also satisfy finite-time stability is put forward by analyzing a state feedback system.By constructing Lyapunov-Krasovskii function and applying linear matrix inequality,the description of a feasibility problem for the design of the controller is presented.The proposed finite-time robust H∞ controller guarantees the system finite-time stable and interference suppression strong,and meet the given norm index.The simulation results show the effectiveness of the proposed approach.